Field synergy principle is based on the steady state laminar thermal boundary layer integral equations and has been validated by the experimental data and numerical simulations.
场协同原理是基于稳态时层流热边界层的积分方程得到的，其正确性已得到了实验及数值验证。
The dynamic problem could be formulated as a set of dual integral equations.
该问题可表示为一系列二重积分方程。
We shall now formulate these integral equations and discuss some of their consequences.
现在我们来表述这些积分方程，并讨论它们的一些结果。
It USES the fast multipole method (FMM) to accelerate the solution of the integral equations.
它使用快速多极方法(FMM)加速积分方程的解决方案。
Momentum integral equations are solved simultaneously with the specified relationships of main flow.
将附面层的动量积分方程与主流的关系式联立起来求解。
One class of composite boundary value problem with two displacements is discussed with integral equations.
用积分方程的方法讨论了解析函数的一类带有两个位移的复合边值问题。
The discussion on the differential equations can be connected with the discussion on the integral equations.
关于这些微分方程的讨论就与相应的积分方程的讨论联系起来。
In solving electric field integral equations, fast multipole is used to make the computing efficiency greatly improved.
最后采用了快速多极子对电场积分方程进行求解，这样使得计算的效率得到很大的提高。
This paper deals with the existence and uniqueness of the solution of a class of nonlinear functional integral equations.
研究一类非线性函数积分方程解的存在唯一性。
The theoretical investigation in ionic fluids has been done with analytical or numerical calculation of integral equations.
对于离子液体的研究理论上主要是用解析或数值计算求解积分方程组。
Results are useful for differential difference equations and differential integral equations with continuous distributed retards.
所得的结果适用于微分差分方程和具连续分布滞量的积分微分方程。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
Compared with the study of stochastic differential equations, non-Lipschitz stochastic integral equations seems relatively lagging.
相对于随机微分方程的广泛讨论，随机积分方程的研究就显得滞后很多。
A pair of dual integral equations can be obtained often by solving electromagnetic wave diffraction problems in two dimensional case.
在解二维电磁波衍射问题时，经常导出一对孪生积分方程。
FVM can be extended to more general areas, which is a widely suitable numerical method for solving the variational integral equations.
FVM可以被推广到更广泛的领域，是一个求解变分型积分方程问题的普遍适用的新型数值方法。
The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).
基于对偶边界积分方程（DBIE）构造代数方程组，采用广义极小残值迭代法（GMRES）求解。
In this paper, we give the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations.
本文利用不动点理论，给出了一类非线性延迟积分方程正的概周期型解的存在性条件。
We present a quadrature method for mixed boundary integral equations of stable problems, which provides high accuracy and less complexity.
提出了求积法解稳态问题的混合边界积分方程，它拥有高精度，低复杂度。
The general integral equations are derived for liquid and gas components of space propulsion systems with liquid propellant rocket engine.
针对采用液体推进剂火箭发动机的空间推进系统，推导了系统液路和气路的通用积分形式方程。
In this thesis, the research work is based on efficient integral equations for electromagnetic scattering property of dielectric materials.
本文主要围绕介质目标电磁散射特性的高效积分方程开展研究工作。
For dealing with the electromagnetic fields near edges, an approximate scheme is developed using the series expansions and integral equations.
处理孔缝边界时，用级数展开和积分方程得到金属拐角处电磁场的近似解。
The traditional boundary element method of outside domain singularity points for plate bending problems needs two boundary integral equations.
传统的平板弯曲边界元域外奇点法要求建立二个边界积分方程才能求解。
Solving integral equations of supercavitating flow based on the finite difference time discretization method, some numerical results are obtained.
采用时间有限差分离散化方法求解超空泡流积分方程，得到了问题的数值解。
In this paper, we study the direct method of solution for a class of singular integral equations with solutions having singularities of order one.
本文研究了一类具有一阶奇异性解的完全奇异积分方程的直接解法。
In this paper, the authors present mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
Then correspondently, we obtain the specific variational principles, bounded theorems, and boundary integral equations of the second stage problems.
再得到与之对应的各类变分原理，界限定理，第二阶段问题的边界积分方程。
In numerical calculation, the paper employs the collocation method to compute the coupled boundary integral equations with quadrangle constant elements.
数值计算采用配置法计算耦合的边界积分方程，使用四边形常单元。
The nonlinear boundary value problem of the corrugated diaphragm reduces to the nonlinear integral equations by applying the method of Green's function.
应用格林函数方法，将波纹膜片的非线性边值问题化为非线性积分方程进行求解。
The result is a set of coupled, nonlinear integral equations for the baryon self-energy with a self-consistency condition on the single-particle spectrum.
结果得到了一组带有一个关于单粒子光谱自洽条件的耦合的，非线性的重子自能的积分方程。
Using the theory of fixed point, we give a theorem about the existence of asymptotically almost periodic solution for a class of delay integral equations.
利用不动点理论，给出了一类时滞积分方程渐近概周期解的存在性定理。
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